Question

A polygon has 44 diagonals. Then the number of sides is

• A. 8
• B. 9
• C. 10
• D. 11

Answer 1

The correct option is D 11

If a polygon has n sides then number of diagonals $\frac{n(n-3}{2}=44\left[Ref.6.2.7\right]$
n(n–3) = 88 = 11.8 = 11(11 – 3)
$\therefore n=11$.